Notes on the generalized Perron complements involving inverse N0-matrices

被引：0
|
作者：
Zhong, Qin [1 ]
Li, Ling [2 ]
机构：
[1] Sichuan Univ, Dept Math, Jinjiang Coll, Meishan 620860, Peoples R China
[2] Chengdu Technol Univ, Sch Big Data & Artificial Intelligence, Chengdu 611730, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 08期
关键词：
N; 0-matrix; inverse N 0-matrix; generalized Perron complement; spectral radius; Schur complement; MATRICES; BOUNDS; ROOT;
D O I：
10.3934/math.20241076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the context of inverse N0-matrices, this study focuses on the closure of generalized Perron complements by utilizing the characteristics of M-matrices, nonnegative matrices, and inverse N0-matrices. In particular, we illustrate that the inverse N0-matrix and its Perron complement matrix possess the same spectral radius. Furthermore, we present certain general inequalities concerning generalized Perron complements, Perron complements, and submatrices of inverse N0-matrices. Finally, we provide specific examples to verify our findings.
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页码：22130 / 22145
页数：16
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